Fold 1 - Understanding why coefficient -1591535 was selected
Tag: VANNUCCI
Selected Coefficient: -1591535
Taxonomy Path: -1.1.18.3
Taxonomy Name:
Products with this tag: 6
Unique residual values tried: 4
The algorithm tries each unique residual value as a candidate coefficient and selects the one with the lowest total p-adic loss. The selected row is highlighted.
| Candidate Value | Total P-adic Loss | Taxonomy Path | P-adic Expansion | Taxonomy Name | Selected? |
|---|---|---|---|---|---|
| -1591535 | 3.000160 | -1.1.18.3 | -3.18.1.1 (-(3*79^3 + 18*79^2 + 79 + 1)) | Yes | |
| -5997681 | 3.000320 | -1.1.13.12 | -12.13.1.1 (-(12*79^3 + 13*79^2 + 79 + 1)) | No | |
| 0 | 3.012658 | 0 | 0 (0) | No | |
| -1591376 | 3.025316 | -0.78.17.3 | -3.17.78.0 (-(3*79^3 + 17*79^2 + 78*79)) | No |
These are the training products that have the "VANNUCCI" tag (processing sequence 3015). The residual is the encoded taxonomy value minus all coefficients from previously processed tags.
| Product ID | Title | Residual Before | Taxonomy Before | Tags Already Processed | Residual After | Taxonomy After | Tags Not Yet Processed |
|---|---|---|---|---|---|---|---|
| 11380 | Vader Dotted Fashion Socks | 0 | ACCESSORIES, CLOTHING, COTTON-BLEND, UNDER-50 | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | |
| 11792 | Vadala Paisley Fashion Socks | 0 | ACCESSORIES, CLOTHING, COTTON-BLEND, UNDER-50 | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | |
| 11804 | Vago Paisley Fashion Socks | -1591376 | ACCESSORIES, CLOTHING, COTTON-BLEND, UNDER-50 | 159 | Apparel & Accessories > Clothing Accessories | none | |
| 11805 | Vago Paisley Fashion Socks | -1591535 | CHARCOAL, ACCESSORIES, CLOTHING, COTTON-BLEND, UNDER-50 | 0 | none | ||
| 11819 | Vadala Paisley Fashion Socks | -1591535 | CHARCOAL, ACCESSORIES, CLOTHING, COTTON-BLEND, UNDER-50 | 0 | none | ||
| 11803 | Vaca Diamond Fashion Socks | -5997681 | BLUE, ACCESSORIES, CLOTHING, COTTON-BLEND, UNDER-50 | -4406146 | none |